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Finding the Fourth Proportional to 438,210.52, 657,547.21 and 310,949.13

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Solution

The fourth proportional to 438,210.52, 657,547.21 and 310,949.13 is: 466,587.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,210.52 : 657,547.21 = 310,949.13 : x
  2. Step 2: Convert to fraction form
    438,210.52/657,547.21 = 310,949.13/x
  3. Step 3: Cross multiply
    438,210.52x = 657,547.21 × 310,949.13
  4. Step 4: Simplify right side
    438,210.52x = 204,463,733,988.83
  5. Step 5: Solve for x
    x = 204,463,733,988.83/438,210.52
  6. Step 6: Final answer
    x = 466,587.92

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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.