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Finding the Fourth Proportional to 489,521.49, 734,325.98 and 152,565

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Solution

The fourth proportional to 489,521.49, 734,325.98 and 152,565 is: 228,861.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,521.49 : 734,325.98 = 152,565 : x
  2. Step 2: Convert to fraction form
    489,521.49/734,325.98 = 152,565/x
  3. Step 3: Cross multiply
    489,521.49x = 734,325.98 × 152,565
  4. Step 4: Simplify right side
    489,521.49x = 112,032,442,375.88
  5. Step 5: Solve for x
    x = 112,032,442,375.88/489,521.49
  6. Step 6: Final answer
    x = 228,861.13

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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.