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Finding the Fourth Proportional to 528,397.50, 729,192.66 and 310,547.66

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Solution

The fourth proportional to 528,397.50, 729,192.66 and 310,547.66 is: 428,558.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,397.50 : 729,192.66 = 310,547.66 : x
  2. Step 2: Convert to fraction form
    528,397.50/729,192.66 = 310,547.66/x
  3. Step 3: Cross multiply
    528,397.50x = 729,192.66 × 310,547.66
  4. Step 4: Simplify right side
    528,397.50x = 226,449,074,252.18
  5. Step 5: Solve for x
    x = 226,449,074,252.18/528,397.50
  6. Step 6: Final answer
    x = 428,558.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.