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Finding the Fourth Proportional to 704,148.32, 971,707.57 and 402,322.88

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Solution

The fourth proportional to 704,148.32, 971,707.57 and 402,322.88 is: 555,195.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,148.32 : 971,707.57 = 402,322.88 : x
  2. Step 2: Convert to fraction form
    704,148.32/971,707.57 = 402,322.88/x
  3. Step 3: Cross multiply
    704,148.32x = 971,707.57 × 402,322.88
  4. Step 4: Simplify right side
    704,148.32x = 390,940,182,215.86
  5. Step 5: Solve for x
    x = 390,940,182,215.86/704,148.32
  6. Step 6: Final answer
    x = 555,195.79

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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.