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Finding the Fourth Proportional to 401,426.40, 602,139.60 and 395,205.60

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Solution

The fourth proportional to 401,426.40, 602,139.60 and 395,205.60 is: 592,808.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,426.40 : 602,139.60 = 395,205.60 : x
  2. Step 2: Convert to fraction form
    401,426.40/602,139.60 = 395,205.60/x
  3. Step 3: Cross multiply
    401,426.40x = 602,139.60 × 395,205.60
  4. Step 4: Simplify right side
    401,426.40x = 237,968,941,901.76
  5. Step 5: Solve for x
    x = 237,968,941,901.76/401,426.40
  6. Step 6: Final answer
    x = 592,808.40

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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.