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Finding the Fourth Proportional to 282,963.66, 390,496.23 and 155,646.06

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Solution

The fourth proportional to 282,963.66, 390,496.23 and 155,646.06 is: 214,795.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,963.66 : 390,496.23 = 155,646.06 : x
  2. Step 2: Convert to fraction form
    282,963.66/390,496.23 = 155,646.06/x
  3. Step 3: Cross multiply
    282,963.66x = 390,496.23 × 155,646.06
  4. Step 4: Simplify right side
    282,963.66x = 60,779,199,644.35
  5. Step 5: Solve for x
    x = 60,779,199,644.35/282,963.66
  6. Step 6: Final answer
    x = 214,795.07

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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.