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Finding the Fourth Proportional to 409,849,658.20, 614,774,487.30 and 118,726,278.40

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Solution

The fourth proportional to 409,849,658.20, 614,774,487.30 and 118,726,278.40 is: 178,089,417.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,849,658.20 : 614,774,487.30 = 118,726,278.40 : x
  2. Step 2: Convert to fraction form
    409,849,658.20/614,774,487.30 = 118,726,278.40/x
  3. Step 3: Cross multiply
    409,849,658.20x = 614,774,487.30 × 118,726,278.40
  4. Step 4: Simplify right side
    409,849,658.20x = 72,989,886,932,397,056
  5. Step 5: Solve for x
    x = 72,989,886,932,397,056/409,849,658.20
  6. Step 6: Final answer
    x = 178,089,417.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.