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Finding the Fourth Proportional to 392,473,643.60, 588,710,465.40 and 119,843,973.20

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Solution

The fourth proportional to 392,473,643.60, 588,710,465.40 and 119,843,973.20 is: 179,765,959.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,473,643.60 : 588,710,465.40 = 119,843,973.20 : x
  2. Step 2: Convert to fraction form
    392,473,643.60/588,710,465.40 = 119,843,973.20/x
  3. Step 3: Cross multiply
    392,473,643.60x = 588,710,465.40 × 119,843,973.20
  4. Step 4: Simplify right side
    392,473,643.60x = 70,553,401,237,957,128
  5. Step 5: Solve for x
    x = 70,553,401,237,957,128/392,473,643.60
  6. Step 6: Final answer
    x = 179,765,959.80

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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.