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Finding the Fourth Proportional to 634,624, 875,792.64 and 348,158.72

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Solution

The fourth proportional to 634,624, 875,792.64 and 348,158.72 is: 480,465.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,624 : 875,792.64 = 348,158.72 : x
  2. Step 2: Convert to fraction form
    634,624/875,792.64 = 348,158.72/x
  3. Step 3: Cross multiply
    634,624x = 875,792.64 × 348,158.72
  4. Step 4: Simplify right side
    634,624x = 304,914,844,527.82
  5. Step 5: Solve for x
    x = 304,914,844,527.82/634,624
  6. Step 6: Final answer
    x = 480,465.35

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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.