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Finding the Fourth Proportional to 570,509.22, 787,302.78 and 312,402.45

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Solution

The fourth proportional to 570,509.22, 787,302.78 and 312,402.45 is: 431,115.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,509.22 : 787,302.78 = 312,402.45 : x
  2. Step 2: Convert to fraction form
    570,509.22/787,302.78 = 312,402.45/x
  3. Step 3: Cross multiply
    570,509.22x = 787,302.78 × 312,402.45
  4. Step 4: Simplify right side
    570,509.22x = 245,955,317,363.81
  5. Step 5: Solve for x
    x = 245,955,317,363.81/570,509.22
  6. Step 6: Final answer
    x = 431,115.41

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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.