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Finding the Fourth Proportional to 315,045.76, 472,430.40 and 115,314.40

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Solution

The fourth proportional to 315,045.76, 472,430.40 and 115,314.40 is: 172,921.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,045.76 : 472,430.40 = 115,314.40 : x
  2. Step 2: Convert to fraction form
    315,045.76/472,430.40 = 115,314.40/x
  3. Step 3: Cross multiply
    315,045.76x = 472,430.40 × 115,314.40
  4. Step 4: Simplify right side
    315,045.76x = 54,478,028,117.76
  5. Step 5: Solve for x
    x = 54,478,028,117.76/315,045.76
  6. Step 6: Final answer
    x = 172,921.00

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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.