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Finding the Fourth Proportional to 472,392,681.60, 708,589,022.40 and 357,601,425.60

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Solution

The fourth proportional to 472,392,681.60, 708,589,022.40 and 357,601,425.60 is: 536,402,138.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,392,681.60 : 708,589,022.40 = 357,601,425.60 : x
  2. Step 2: Convert to fraction form
    472,392,681.60/708,589,022.40 = 357,601,425.60/x
  3. Step 3: Cross multiply
    472,392,681.60x = 708,589,022.40 × 357,601,425.60
  4. Step 4: Simplify right side
    472,392,681.60x = 253,392,444,574,750,336
  5. Step 5: Solve for x
    x = 253,392,444,574,750,336/472,392,681.60
  6. Step 6: Final answer
    x = 536,402,138.40

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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.