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Finding the Fourth Proportional to 703,790.79, 972,038.31 and 463,147.58

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Solution

The fourth proportional to 703,790.79, 972,038.31 and 463,147.58 is: 639,674.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,790.79 : 972,038.31 = 463,147.58 : x
  2. Step 2: Convert to fraction form
    703,790.79/972,038.31 = 463,147.58/x
  3. Step 3: Cross multiply
    703,790.79x = 972,038.31 × 463,147.58
  4. Step 4: Simplify right side
    703,790.79x = 450,197,191,637.08
  5. Step 5: Solve for x
    x = 450,197,191,637.08/703,790.79
  6. Step 6: Final answer
    x = 639,674.74

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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.