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Finding the Fourth Proportional to 326,509.47, 488,496.98 and 286,225.37

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Solution

The fourth proportional to 326,509.47, 488,496.98 and 286,225.37 is: 428,227.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,509.47 : 488,496.98 = 286,225.37 : x
  2. Step 2: Convert to fraction form
    326,509.47/488,496.98 = 286,225.37/x
  3. Step 3: Cross multiply
    326,509.47x = 488,496.98 × 286,225.37
  4. Step 4: Simplify right side
    326,509.47x = 139,820,224,970.77
  5. Step 5: Solve for x
    x = 139,820,224,970.77/326,509.47
  6. Step 6: Final answer
    x = 428,227.17

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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.