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Finding the Fourth Proportional to 315,840, 435,859.20 and 174,528

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Solution

The fourth proportional to 315,840, 435,859.20 and 174,528 is: 240,848.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,840 : 435,859.20 = 174,528 : x
  2. Step 2: Convert to fraction form
    315,840/435,859.20 = 174,528/x
  3. Step 3: Cross multiply
    315,840x = 435,859.20 × 174,528
  4. Step 4: Simplify right side
    315,840x = 76,069,634,457.60
  5. Step 5: Solve for x
    x = 76,069,634,457.60/315,840
  6. Step 6: Final answer
    x = 240,848.64

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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.