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Finding the Fourth Proportional to 434,538.60, 651,807.90 and 282,323.40

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Solution

The fourth proportional to 434,538.60, 651,807.90 and 282,323.40 is: 423,485.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,538.60 : 651,807.90 = 282,323.40 : x
  2. Step 2: Convert to fraction form
    434,538.60/651,807.90 = 282,323.40/x
  3. Step 3: Cross multiply
    434,538.60x = 651,807.90 × 282,323.40
  4. Step 4: Simplify right side
    434,538.60x = 184,020,622,474.86
  5. Step 5: Solve for x
    x = 184,020,622,474.86/434,538.60
  6. Step 6: Final answer
    x = 423,485.10

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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.