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Finding the Fourth Proportional to 426,547.20, 640,041.60 and 174,012.80

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Solution

The fourth proportional to 426,547.20, 640,041.60 and 174,012.80 is: 261,109.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,547.20 : 640,041.60 = 174,012.80 : x
  2. Step 2: Convert to fraction form
    426,547.20/640,041.60 = 174,012.80/x
  3. Step 3: Cross multiply
    426,547.20x = 640,041.60 × 174,012.80
  4. Step 4: Simplify right side
    426,547.20x = 111,375,430,932.48
  5. Step 5: Solve for x
    x = 111,375,430,932.48/426,547.20
  6. Step 6: Final answer
    x = 261,109.28

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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.