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Finding the Fourth Proportional to 390,064.64, 585,117 and 109,603.76

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Solution

The fourth proportional to 390,064.64, 585,117 and 109,603.76 is: 164,411.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,064.64 : 585,117 = 109,603.76 : x
  2. Step 2: Convert to fraction form
    390,064.64/585,117 = 109,603.76/x
  3. Step 3: Cross multiply
    390,064.64x = 585,117 × 109,603.76
  4. Step 4: Simplify right side
    390,064.64x = 64,131,020,314.34
  5. Step 5: Solve for x
    x = 64,131,020,314.34/390,064.64
  6. Step 6: Final answer
    x = 164,411.27

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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.