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Finding the Fourth Proportional to 570,345.68, 787,023.16 and 340,857.32

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Solution

The fourth proportional to 570,345.68, 787,023.16 and 340,857.32 is: 470,350.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,345.68 : 787,023.16 = 340,857.32 : x
  2. Step 2: Convert to fraction form
    570,345.68/787,023.16 = 340,857.32/x
  3. Step 3: Cross multiply
    570,345.68x = 787,023.16 × 340,857.32
  4. Step 4: Simplify right side
    570,345.68x = 268,262,605,095.53
  5. Step 5: Solve for x
    x = 268,262,605,095.53/570,345.68
  6. Step 6: Final answer
    x = 470,350.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.