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Finding the Fourth Proportional to 704,149.32, 971,708.95 and 402,323.88

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Solution

The fourth proportional to 704,149.32, 971,708.95 and 402,323.88 is: 555,197.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,149.32 : 971,708.95 = 402,323.88 : x
  2. Step 2: Convert to fraction form
    704,149.32/971,708.95 = 402,323.88/x
  3. Step 3: Cross multiply
    704,149.32x = 971,708.95 × 402,323.88
  4. Step 4: Simplify right side
    704,149.32x = 390,941,714,994.73
  5. Step 5: Solve for x
    x = 390,941,714,994.73/704,149.32
  6. Step 6: Final answer
    x = 555,197.18

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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.