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Finding the Fourth Proportional to 390,085.80, 585,128.70 and 277,528.20

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Solution

The fourth proportional to 390,085.80, 585,128.70 and 277,528.20 is: 416,292.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,085.80 : 585,128.70 = 277,528.20 : x
  2. Step 2: Convert to fraction form
    390,085.80/585,128.70 = 277,528.20/x
  3. Step 3: Cross multiply
    390,085.80x = 585,128.70 × 277,528.20
  4. Step 4: Simplify right side
    390,085.80x = 162,389,714,879.34
  5. Step 5: Solve for x
    x = 162,389,714,879.34/390,085.80
  6. Step 6: Final answer
    x = 416,292.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.