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Finding the Fourth Proportional to 686,689.74, 947,643.23 and 380,779.01

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Solution

The fourth proportional to 686,689.74, 947,643.23 and 380,779.01 is: 525,481.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,689.74 : 947,643.23 = 380,779.01 : x
  2. Step 2: Convert to fraction form
    686,689.74/947,643.23 = 380,779.01/x
  3. Step 3: Cross multiply
    686,689.74x = 947,643.23 × 380,779.01
  4. Step 4: Simplify right side
    686,689.74x = 360,842,650,720.00
  5. Step 5: Solve for x
    x = 360,842,650,720.00/686,689.74
  6. Step 6: Final answer
    x = 525,481.35

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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.