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Finding the Fourth Proportional to 513,248.94, 708,269.67 and 286,938.18

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Solution

The fourth proportional to 513,248.94, 708,269.67 and 286,938.18 is: 395,966.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,248.94 : 708,269.67 = 286,938.18 : x
  2. Step 2: Convert to fraction form
    513,248.94/708,269.67 = 286,938.18/x
  3. Step 3: Cross multiply
    513,248.94x = 708,269.67 × 286,938.18
  4. Step 4: Simplify right side
    513,248.94x = 203,229,610,059.00
  5. Step 5: Solve for x
    x = 203,229,610,059.00/513,248.94
  6. Step 6: Final answer
    x = 395,966.94

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1.5x scale

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.