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Finding the Fourth Proportional to 402,984,687.20, 604,477,030.80 and 147,649,877.60

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Solution

The fourth proportional to 402,984,687.20, 604,477,030.80 and 147,649,877.60 is: 221,474,816.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,984,687.20 : 604,477,030.80 = 147,649,877.60 : x
  2. Step 2: Convert to fraction form
    402,984,687.20/604,477,030.80 = 147,649,877.60/x
  3. Step 3: Cross multiply
    402,984,687.20x = 604,477,030.80 × 147,649,877.60
  4. Step 4: Simplify right side
    402,984,687.20x = 89,250,959,609,631,424
  5. Step 5: Solve for x
    x = 89,250,959,609,631,424/402,984,687.20
  6. Step 6: Final answer
    x = 221,474,816.40

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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.