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Finding the Fourth Proportional to 978,547,946.48, 1,466,100,050.88 and 920,291,398.64

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Solution

The fourth proportional to 978,547,946.48, 1,466,100,050.88 and 920,291,398.64 is: 1,378,817,738.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,547,946.48 : 1,466,100,050.88 = 920,291,398.64 : x
  2. Step 2: Convert to fraction form
    978,547,946.48/1,466,100,050.88 = 920,291,398.64/x
  3. Step 3: Cross multiply
    978,547,946.48x = 1,466,100,050.88 × 920,291,398.64
  4. Step 4: Simplify right side
    978,547,946.48x = 1,349,239,266,370,530,560
  5. Step 5: Solve for x
    x = 1,349,239,266,370,530,560/978,547,946.48
  6. Step 6: Final answer
    x = 1,378,817,738.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.