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Finding the Fourth Proportional to 261,178.40, 360,421.04 and 152,303.04

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Solution

The fourth proportional to 261,178.40, 360,421.04 and 152,303.04 is: 210,175.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,178.40 : 360,421.04 = 152,303.04 : x
  2. Step 2: Convert to fraction form
    261,178.40/360,421.04 = 152,303.04/x
  3. Step 3: Cross multiply
    261,178.40x = 360,421.04 × 152,303.04
  4. Step 4: Simplify right side
    261,178.40x = 54,893,220,071.96
  5. Step 5: Solve for x
    x = 54,893,220,071.96/261,178.40
  6. Step 6: Final answer
    x = 210,175.19

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1.5x scale

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.