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Finding the Fourth Proportional to 779,009, 1,075,032.42 and 421,313

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Solution

The fourth proportional to 779,009, 1,075,032.42 and 421,313 is: 581,411.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,009 : 1,075,032.42 = 421,313 : x
  2. Step 2: Convert to fraction form
    779,009/1,075,032.42 = 421,313/x
  3. Step 3: Cross multiply
    779,009x = 1,075,032.42 × 421,313
  4. Step 4: Simplify right side
    779,009x = 452,925,133,967.46
  5. Step 5: Solve for x
    x = 452,925,133,967.46/779,009
  6. Step 6: Final answer
    x = 581,411.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.