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Finding the Fourth Proportional to 430,925.15, 644,813.07 and 253,515.71

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Solution

The fourth proportional to 430,925.15, 644,813.07 and 253,515.71 is: 379,347.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,925.15 : 644,813.07 = 253,515.71 : x
  2. Step 2: Convert to fraction form
    430,925.15/644,813.07 = 253,515.71/x
  3. Step 3: Cross multiply
    430,925.15x = 644,813.07 × 253,515.71
  4. Step 4: Simplify right side
    430,925.15x = 163,470,241,990.75
  5. Step 5: Solve for x
    x = 163,470,241,990.75/430,925.15
  6. Step 6: Final answer
    x = 379,347.18

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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.