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Finding the Fourth Proportional to 305,587.51, 459,128.54 and 288,592.45

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Solution

The fourth proportional to 305,587.51, 459,128.54 and 288,592.45 is: 433,594.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,587.51 : 459,128.54 = 288,592.45 : x
  2. Step 2: Convert to fraction form
    305,587.51/459,128.54 = 288,592.45/x
  3. Step 3: Cross multiply
    305,587.51x = 459,128.54 × 288,592.45
  4. Step 4: Simplify right side
    305,587.51x = 132,501,030,223.52
  5. Step 5: Solve for x
    x = 132,501,030,223.52/305,587.51
  6. Step 6: Final answer
    x = 433,594.39

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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.