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Finding the Fourth Proportional to 604,547.80, 905,784.90 and 394,077.40

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Solution

The fourth proportional to 604,547.80, 905,784.90 and 394,077.40 is: 590,440.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,547.80 : 905,784.90 = 394,077.40 : x
  2. Step 2: Convert to fraction form
    604,547.80/905,784.90 = 394,077.40/x
  3. Step 3: Cross multiply
    604,547.80x = 905,784.90 × 394,077.40
  4. Step 4: Simplify right side
    604,547.80x = 356,949,358,351.26
  5. Step 5: Solve for x
    x = 356,949,358,351.26/604,547.80
  6. Step 6: Final answer
    x = 590,440.26

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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.