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Finding the Fourth Proportional to 646,853.80, 972,030.30 and 569,871.40

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Solution

The fourth proportional to 646,853.80, 972,030.30 and 569,871.40 is: 856,348.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,853.80 : 972,030.30 = 569,871.40 : x
  2. Step 2: Convert to fraction form
    646,853.80/972,030.30 = 569,871.40/x
  3. Step 3: Cross multiply
    646,853.80x = 972,030.30 × 569,871.40
  4. Step 4: Simplify right side
    646,853.80x = 553,932,267,903.42
  5. Step 5: Solve for x
    x = 553,932,267,903.42/646,853.80
  6. Step 6: Final answer
    x = 856,348.48

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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.