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Finding the Fourth Proportional to 616,988.72, 849,678.54 and 578,542.16

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Solution

The fourth proportional to 616,988.72, 849,678.54 and 578,542.16 is: 796,732.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,988.72 : 849,678.54 = 578,542.16 : x
  2. Step 2: Convert to fraction form
    616,988.72/849,678.54 = 578,542.16/x
  3. Step 3: Cross multiply
    616,988.72x = 849,678.54 × 578,542.16
  4. Step 4: Simplify right side
    616,988.72x = 491,574,857,837.25
  5. Step 5: Solve for x
    x = 491,574,857,837.25/616,988.72
  6. Step 6: Final answer
    x = 796,732.33

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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.