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Finding the Fourth Proportional to 402,899,257.80, 604,348,886.70 and 280,455,251.40

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Solution

The fourth proportional to 402,899,257.80, 604,348,886.70 and 280,455,251.40 is: 420,682,877.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,899,257.80 : 604,348,886.70 = 280,455,251.40 : x
  2. Step 2: Convert to fraction form
    402,899,257.80/604,348,886.70 = 280,455,251.40/x
  3. Step 3: Cross multiply
    402,899,257.80x = 604,348,886.70 × 280,455,251.40
  4. Step 4: Simplify right side
    402,899,257.80x = 169,492,818,952,758,624
  5. Step 5: Solve for x
    x = 169,492,818,952,758,624/402,899,257.80
  6. Step 6: Final answer
    x = 420,682,877.10

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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.