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Finding the Fourth Proportional to 545,013.12, 817,686.16 and 278,962.16

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Solution

The fourth proportional to 545,013.12, 817,686.16 and 278,962.16 is: 418,528.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,013.12 : 817,686.16 = 278,962.16 : x
  2. Step 2: Convert to fraction form
    545,013.12/817,686.16 = 278,962.16/x
  3. Step 3: Cross multiply
    545,013.12x = 817,686.16 × 278,962.16
  4. Step 4: Simplify right side
    545,013.12x = 228,103,497,395.71
  5. Step 5: Solve for x
    x = 228,103,497,395.71/545,013.12
  6. Step 6: Final answer
    x = 418,528.45

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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.