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Finding the Fourth Proportional to 315,281.24, 472,916.88 and 146,707.28

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Solution

The fourth proportional to 315,281.24, 472,916.88 and 146,707.28 is: 220,058.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,281.24 : 472,916.88 = 146,707.28 : x
  2. Step 2: Convert to fraction form
    315,281.24/472,916.88 = 146,707.28/x
  3. Step 3: Cross multiply
    315,281.24x = 472,916.88 × 146,707.28
  4. Step 4: Simplify right side
    315,281.24x = 69,380,349,130.89
  5. Step 5: Solve for x
    x = 69,380,349,130.89/315,281.24
  6. Step 6: Final answer
    x = 220,058.60

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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.