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Finding the Fourth Proportional to 566,465.04, 781,740.36 and 311,835.60

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Solution

The fourth proportional to 566,465.04, 781,740.36 and 311,835.60 is: 430,343.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,465.04 : 781,740.36 = 311,835.60 : x
  2. Step 2: Convert to fraction form
    566,465.04/781,740.36 = 311,835.60/x
  3. Step 3: Cross multiply
    566,465.04x = 781,740.36 × 311,835.60
  4. Step 4: Simplify right side
    566,465.04x = 243,774,474,204.82
  5. Step 5: Solve for x
    x = 243,774,474,204.82/566,465.04
  6. Step 6: Final answer
    x = 430,343.37

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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.