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Finding the Fourth Proportional to 282,547, 389,915.02 and 155,230.80

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Solution

The fourth proportional to 282,547, 389,915.02 and 155,230.80 is: 214,218.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,547 : 389,915.02 = 155,230.80 : x
  2. Step 2: Convert to fraction form
    282,547/389,915.02 = 155,230.80/x
  3. Step 3: Cross multiply
    282,547x = 389,915.02 × 155,230.80
  4. Step 4: Simplify right side
    282,547x = 60,526,820,486.62
  5. Step 5: Solve for x
    x = 60,526,820,486.62/282,547
  6. Step 6: Final answer
    x = 214,218.59

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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.