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Finding the Fourth Proportional to 315,030.40, 472,549.20 and 78,373.60

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Solution

The fourth proportional to 315,030.40, 472,549.20 and 78,373.60 is: 117,561.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,030.40 : 472,549.20 = 78,373.60 : x
  2. Step 2: Convert to fraction form
    315,030.40/472,549.20 = 78,373.60/x
  3. Step 3: Cross multiply
    315,030.40x = 472,549.20 × 78,373.60
  4. Step 4: Simplify right side
    315,030.40x = 37,035,381,981.12
  5. Step 5: Solve for x
    x = 37,035,381,981.12/315,030.40
  6. Step 6: Final answer
    x = 117,561.30

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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.