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Finding the Fourth Proportional to 459,570.40, 689,917.20 and 260,029.60

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Solution

The fourth proportional to 459,570.40, 689,917.20 and 260,029.60 is: 390,362.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,570.40 : 689,917.20 = 260,029.60 : x
  2. Step 2: Convert to fraction form
    459,570.40/689,917.20 = 260,029.60/x
  3. Step 3: Cross multiply
    459,570.40x = 689,917.20 × 260,029.60
  4. Step 4: Simplify right side
    459,570.40x = 179,398,893,549.12
  5. Step 5: Solve for x
    x = 179,398,893,549.12/459,570.40
  6. Step 6: Final answer
    x = 390,362.16

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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.