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Finding the Fourth Proportional to 570,429.48, 787,202 and 312,302.08

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Solution

The fourth proportional to 570,429.48, 787,202 and 312,302.08 is: 430,981.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,429.48 : 787,202 = 312,302.08 : x
  2. Step 2: Convert to fraction form
    570,429.48/787,202 = 312,302.08/x
  3. Step 3: Cross multiply
    570,429.48x = 787,202 × 312,302.08
  4. Step 4: Simplify right side
    570,429.48x = 245,844,821,980.16
  5. Step 5: Solve for x
    x = 245,844,821,980.16/570,429.48
  6. Step 6: Final answer
    x = 430,981.97

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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.