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Finding the Fourth Proportional to 287,841.60, 432,280.80 and 278,510.40

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Solution

The fourth proportional to 287,841.60, 432,280.80 and 278,510.40 is: 418,267.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,841.60 : 432,280.80 = 278,510.40 : x
  2. Step 2: Convert to fraction form
    287,841.60/432,280.80 = 278,510.40/x
  3. Step 3: Cross multiply
    287,841.60x = 432,280.80 × 278,510.40
  4. Step 4: Simplify right side
    287,841.60x = 120,394,698,520.32
  5. Step 5: Solve for x
    x = 120,394,698,520.32/287,841.60
  6. Step 6: Final answer
    x = 418,267.19

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1.5x scale

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.