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Finding the Fourth Proportional to 319,225.80, 478,595.70 and 161,567.40

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Solution

The fourth proportional to 319,225.80, 478,595.70 and 161,567.40 is: 242,228.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,225.80 : 478,595.70 = 161,567.40 : x
  2. Step 2: Convert to fraction form
    319,225.80/478,595.70 = 161,567.40/x
  3. Step 3: Cross multiply
    319,225.80x = 478,595.70 × 161,567.40
  4. Step 4: Simplify right side
    319,225.80x = 77,325,462,900.18
  5. Step 5: Solve for x
    x = 77,325,462,900.18/319,225.80
  6. Step 6: Final answer
    x = 242,228.11

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1.5x scale

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.