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Finding the Fourth Proportional to 434,547, 651,695.96 and 130,970.54

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Solution

The fourth proportional to 434,547, 651,695.96 and 130,970.54 is: 196,418.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,547 : 651,695.96 = 130,970.54 : x
  2. Step 2: Convert to fraction form
    434,547/651,695.96 = 130,970.54/x
  3. Step 3: Cross multiply
    434,547x = 651,695.96 × 130,970.54
  4. Step 4: Simplify right side
    434,547x = 85,352,967,883.69
  5. Step 5: Solve for x
    x = 85,352,967,883.69/434,547
  6. Step 6: Final answer
    x = 196,418.27

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1.5x scale

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.