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Finding the Fourth Proportional to 515,966.64, 712,002.20 and 286,509.98

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Solution

The fourth proportional to 515,966.64, 712,002.20 and 286,509.98 is: 395,366.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,966.64 : 712,002.20 = 286,509.98 : x
  2. Step 2: Convert to fraction form
    515,966.64/712,002.20 = 286,509.98/x
  3. Step 3: Cross multiply
    515,966.64x = 712,002.20 × 286,509.98
  4. Step 4: Simplify right side
    515,966.64x = 203,995,736,081.96
  5. Step 5: Solve for x
    x = 203,995,736,081.96/515,966.64
  6. Step 6: Final answer
    x = 395,366.13

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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.