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Finding the Fourth Proportional to 472,392,686.70, 708,589,030.05 and 357,601,430.70

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Solution

The fourth proportional to 472,392,686.70, 708,589,030.05 and 357,601,430.70 is: 536,402,146.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,392,686.70 : 708,589,030.05 = 357,601,430.70 : x
  2. Step 2: Convert to fraction form
    472,392,686.70/708,589,030.05 = 357,601,430.70/x
  3. Step 3: Cross multiply
    472,392,686.70x = 708,589,030.05 × 357,601,430.70
  4. Step 4: Simplify right side
    472,392,686.70x = 253,392,450,924,205,280
  5. Step 5: Solve for x
    x = 253,392,450,924,205,280/472,392,686.70
  6. Step 6: Final answer
    x = 536,402,146.05

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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.