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Finding the Fourth Proportional to 319,075.70, 478,176.15 and 260,026.70

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Solution

The fourth proportional to 319,075.70, 478,176.15 and 260,026.70 is: 389,683.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,075.70 : 478,176.15 = 260,026.70 : x
  2. Step 2: Convert to fraction form
    319,075.70/478,176.15 = 260,026.70/x
  3. Step 3: Cross multiply
    319,075.70x = 478,176.15 × 260,026.70
  4. Step 4: Simplify right side
    319,075.70x = 124,338,566,303.21
  5. Step 5: Solve for x
    x = 124,338,566,303.21/319,075.70
  6. Step 6: Final answer
    x = 389,683.60

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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.