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Finding the Fourth Proportional to 652,127.80, 978,483.30 and 315,038.20

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Solution

The fourth proportional to 652,127.80, 978,483.30 and 315,038.20 is: 472,698.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,127.80 : 978,483.30 = 315,038.20 : x
  2. Step 2: Convert to fraction form
    652,127.80/978,483.30 = 315,038.20/x
  3. Step 3: Cross multiply
    652,127.80x = 978,483.30 × 315,038.20
  4. Step 4: Simplify right side
    652,127.80x = 308,259,617,562.06
  5. Step 5: Solve for x
    x = 308,259,617,562.06/652,127.80
  6. Step 6: Final answer
    x = 472,698.17

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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.