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Finding the Fourth Proportional to 282,810.96, 390,278.16 and 155,486.16

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Solution

The fourth proportional to 282,810.96, 390,278.16 and 155,486.16 is: 214,570.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,810.96 : 390,278.16 = 155,486.16 : x
  2. Step 2: Convert to fraction form
    282,810.96/390,278.16 = 155,486.16/x
  3. Step 3: Cross multiply
    282,810.96x = 390,278.16 × 155,486.16
  4. Step 4: Simplify right side
    282,810.96x = 60,682,852,430.27
  5. Step 5: Solve for x
    x = 60,682,852,430.27/282,810.96
  6. Step 6: Final answer
    x = 214,570.37

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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.