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Finding the Fourth Proportional to 703,848, 971,311.68 and 402,041.28

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Solution

The fourth proportional to 703,848, 971,311.68 and 402,041.28 is: 554,817.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,848 : 971,311.68 = 402,041.28 : x
  2. Step 2: Convert to fraction form
    703,848/971,311.68 = 402,041.28/x
  3. Step 3: Cross multiply
    703,848x = 971,311.68 × 402,041.28
  4. Step 4: Simplify right side
    703,848x = 390,507,391,106.15
  5. Step 5: Solve for x
    x = 390,507,391,106.15/703,848
  6. Step 6: Final answer
    x = 554,817.79

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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.