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Finding the Fourth Proportional to 459,430.80, 689,837.40 and 354,368.40

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Solution

The fourth proportional to 459,430.80, 689,837.40 and 354,368.40 is: 532,085.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,430.80 : 689,837.40 = 354,368.40 : x
  2. Step 2: Convert to fraction form
    459,430.80/689,837.40 = 354,368.40/x
  3. Step 3: Cross multiply
    459,430.80x = 689,837.40 × 354,368.40
  4. Step 4: Simplify right side
    459,430.80x = 244,456,575,698.16
  5. Step 5: Solve for x
    x = 244,456,575,698.16/459,430.80
  6. Step 6: Final answer
    x = 532,085.74

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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.