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Finding the Fourth Proportional to 518,547.70, 776,266.35 and 308,077.30

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Solution

The fourth proportional to 518,547.70, 776,266.35 and 308,077.30 is: 461,191.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,547.70 : 776,266.35 = 308,077.30 : x
  2. Step 2: Convert to fraction form
    518,547.70/776,266.35 = 308,077.30/x
  3. Step 3: Cross multiply
    518,547.70x = 776,266.35 × 308,077.30
  4. Step 4: Simplify right side
    518,547.70x = 239,150,041,188.86
  5. Step 5: Solve for x
    x = 239,150,041,188.86/518,547.70
  6. Step 6: Final answer
    x = 461,191.98

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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.