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Finding the Fourth Proportional to 282,802.50, 390,269.98 and 153,741.24

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Solution

The fourth proportional to 282,802.50, 390,269.98 and 153,741.24 is: 212,164.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,802.50 : 390,269.98 = 153,741.24 : x
  2. Step 2: Convert to fraction form
    282,802.50/390,269.98 = 153,741.24/x
  3. Step 3: Cross multiply
    282,802.50x = 390,269.98 × 153,741.24
  4. Step 4: Simplify right side
    282,802.50x = 60,000,590,659.98
  5. Step 5: Solve for x
    x = 60,000,590,659.98/282,802.50
  6. Step 6: Final answer
    x = 212,164.29

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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.