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Finding the Fourth Proportional to 477,454.40, 716,181.60 and 144,987.20

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Solution

The fourth proportional to 477,454.40, 716,181.60 and 144,987.20 is: 217,480.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,454.40 : 716,181.60 = 144,987.20 : x
  2. Step 2: Convert to fraction form
    477,454.40/716,181.60 = 144,987.20/x
  3. Step 3: Cross multiply
    477,454.40x = 716,181.60 × 144,987.20
  4. Step 4: Simplify right side
    477,454.40x = 103,837,164,875.52
  5. Step 5: Solve for x
    x = 103,837,164,875.52/477,454.40
  6. Step 6: Final answer
    x = 217,480.80

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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.